linear_algebra.general_linear_group | Mathlib porting status

Changes since the initial port

The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.

Changes in mathlib3

2705404e

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

4c19a16e

bump to nightly-2023-09-24-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451

5655435f

Diff

@@ -3,7 +3,7 @@ Copyright (c) 2019 Johan Commelin. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin
 -/
-import Mathbin.Algebra.Module.Equiv
+import Algebra.Module.Equiv
 
 #align_import linear_algebra.general_linear_group from "leanprover-community/mathlib"@"4c19a16e4b705bf135cf9a80ac18fcc99c438514"

4c19a16e

bump to nightly-2023-07-20-09

mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345

9c56d0dd

Diff

@@ -2,14 +2,11 @@
 Copyright (c) 2019 Johan Commelin. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin
-
-! This file was ported from Lean 3 source module linear_algebra.general_linear_group
-! leanprover-community/mathlib commit 4c19a16e4b705bf135cf9a80ac18fcc99c438514
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Module.Equiv
 
+#align_import linear_algebra.general_linear_group from "leanprover-community/mathlib"@"4c19a16e4b705bf135cf9a80ac18fcc99c438514"
+
 /-!
 # The general linear group of linear maps

4c19a16e

bump to nightly-2023-06-13-21

mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423

829520ac

Diff

@@ -72,6 +72,7 @@ def ofLinearEquiv (f : M ≃ₗ[R] M) : GeneralLinearGroup R M
 
 variable (R M)
 
+#print LinearMap.GeneralLinearGroup.generalLinearEquiv /-
 /-- The general linear group on `R` and `M` is multiplicatively equivalent to the type of linear
 equivalences between `M` and itself. -/
 def generalLinearEquiv : GeneralLinearGroup R M ≃* M ≃ₗ[R] M
@@ -82,17 +83,22 @@ def generalLinearEquiv : GeneralLinearGroup R M ≃* M ≃ₗ[R] M
   right_inv f := by ext; rfl
   map_mul' x y := by ext; rfl
 #align linear_map.general_linear_group.general_linear_equiv LinearMap.GeneralLinearGroup.generalLinearEquiv
+-/
 
+#print LinearMap.GeneralLinearGroup.generalLinearEquiv_to_linearMap /-
 @[simp]
 theorem generalLinearEquiv_to_linearMap (f : GeneralLinearGroup R M) :
     (generalLinearEquiv R M f : M →ₗ[R] M) = f := by ext; rfl
 #align linear_map.general_linear_group.general_linear_equiv_to_linear_map LinearMap.GeneralLinearGroup.generalLinearEquiv_to_linearMap
+-/
 
+#print LinearMap.GeneralLinearGroup.coeFn_generalLinearEquiv /-
 @[simp]
 theorem coeFn_generalLinearEquiv (f : GeneralLinearGroup R M) :
     ⇑(generalLinearEquiv R M f) = (f : M → M) :=
   rfl
 #align linear_map.general_linear_group.coe_fn_general_linear_equiv LinearMap.GeneralLinearGroup.coeFn_generalLinearEquiv
+-/
 
 end GeneralLinearGroup

4c19a16e

bump to nightly-2023-05-28-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

ba5d8b97

Diff

@@ -72,12 +72,6 @@ def ofLinearEquiv (f : M ≃ₗ[R] M) : GeneralLinearGroup R M
 
 variable (R M)
 
-/- warning: linear_map.general_linear_group.general_linear_equiv -> LinearMap.GeneralLinearGroup.generalLinearEquiv is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) (M : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M _inst_1 _inst_2], MulEquiv.{u2, u2} (LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toHasMul.{u2} (LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) (Units.mulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u1, u2} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toHasMul.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3)))))
-but is expected to have type
-  forall (R : Type.{u1}) (M : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M _inst_1 _inst_2], MulEquiv.{u2, u2} (LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u2} (LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u1, u2} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3)))))
-Case conversion may be inaccurate. Consider using '#align linear_map.general_linear_group.general_linear_equiv LinearMap.GeneralLinearGroup.generalLinearEquivₓ'. -/
 /-- The general linear group on `R` and `M` is multiplicatively equivalent to the type of linear
 equivalences between `M` and itself. -/
 def generalLinearEquiv : GeneralLinearGroup R M ≃* M ≃ₗ[R] M
@@ -89,17 +83,11 @@ def generalLinearEquiv : GeneralLinearGroup R M ≃* M ≃ₗ[R] M
   map_mul' x y := by ext; rfl
 #align linear_map.general_linear_group.general_linear_equiv LinearMap.GeneralLinearGroup.generalLinearEquiv
 
-/- warning: linear_map.general_linear_group.general_linear_equiv_to_linear_map -> LinearMap.GeneralLinearGroup.generalLinearEquiv_to_linearMap is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.general_linear_group.general_linear_equiv_to_linear_map LinearMap.GeneralLinearGroup.generalLinearEquiv_to_linearMapₓ'. -/
 @[simp]
 theorem generalLinearEquiv_to_linearMap (f : GeneralLinearGroup R M) :
     (generalLinearEquiv R M f : M →ₗ[R] M) = f := by ext; rfl
 #align linear_map.general_linear_group.general_linear_equiv_to_linear_map LinearMap.GeneralLinearGroup.generalLinearEquiv_to_linearMap
 
-/- warning: linear_map.general_linear_group.coe_fn_general_linear_equiv -> LinearMap.GeneralLinearGroup.coeFn_generalLinearEquiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.general_linear_group.coe_fn_general_linear_equiv LinearMap.GeneralLinearGroup.coeFn_generalLinearEquivₓ'. -/
 @[simp]
 theorem coeFn_generalLinearEquiv (f : GeneralLinearGroup R M) :
     ⇑(generalLinearEquiv R M f) = (f : M → M) :=

4c19a16e

bump to nightly-2023-05-28-04

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

6797a637

Diff

@@ -84,15 +84,9 @@ def generalLinearEquiv : GeneralLinearGroup R M ≃* M ≃ₗ[R] M
     where
   toFun := toLinearEquiv
   invFun := ofLinearEquiv
-  left_inv f := by
-    ext
-    rfl
-  right_inv f := by
-    ext
-    rfl
-  map_mul' x y := by
-    ext
-    rfl
+  left_inv f := by ext; rfl
+  right_inv f := by ext; rfl
+  map_mul' x y := by ext; rfl
 #align linear_map.general_linear_group.general_linear_equiv LinearMap.GeneralLinearGroup.generalLinearEquiv
 
 /- warning: linear_map.general_linear_group.general_linear_equiv_to_linear_map -> LinearMap.GeneralLinearGroup.generalLinearEquiv_to_linearMap is a dubious translation:
@@ -100,10 +94,7 @@ def generalLinearEquiv : GeneralLinearGroup R M ≃* M ≃ₗ[R] M
 Case conversion may be inaccurate. Consider using '#align linear_map.general_linear_group.general_linear_equiv_to_linear_map LinearMap.GeneralLinearGroup.generalLinearEquiv_to_linearMapₓ'. -/
 @[simp]
 theorem generalLinearEquiv_to_linearMap (f : GeneralLinearGroup R M) :
-    (generalLinearEquiv R M f : M →ₗ[R] M) = f :=
-  by
-  ext
-  rfl
+    (generalLinearEquiv R M f : M →ₗ[R] M) = f := by ext; rfl
 #align linear_map.general_linear_group.general_linear_equiv_to_linear_map LinearMap.GeneralLinearGroup.generalLinearEquiv_to_linearMap
 
 /- warning: linear_map.general_linear_group.coe_fn_general_linear_equiv -> LinearMap.GeneralLinearGroup.coeFn_generalLinearEquiv is a dubious translation:

4c19a16e

bump to nightly-2023-05-28-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

6c6011cf

Diff

@@ -96,10 +96,7 @@ def generalLinearEquiv : GeneralLinearGroup R M ≃* M ≃ₗ[R] M
 #align linear_map.general_linear_group.general_linear_equiv LinearMap.GeneralLinearGroup.generalLinearEquiv
 
 /- warning: linear_map.general_linear_group.general_linear_equiv_to_linear_map -> LinearMap.GeneralLinearGroup.generalLinearEquiv_to_linearMap is a dubious translation:
-lean 3 declaration is
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_inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toHasMul.{u2} (LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) (Units.mulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u1, u2} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toHasMul.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 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_inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3)))))) (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R 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(RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3))))) (MulEquiv.instMulEquivClassMulEquiv.{u1, u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R 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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.general_linear_group.general_linear_equiv_to_linear_map LinearMap.GeneralLinearGroup.generalLinearEquiv_to_linearMapₓ'. -/
 @[simp]
 theorem generalLinearEquiv_to_linearMap (f : GeneralLinearGroup R M) :
@@ -110,10 +107,7 @@ theorem generalLinearEquiv_to_linearMap (f : GeneralLinearGroup R M) :
 #align linear_map.general_linear_group.general_linear_equiv_to_linear_map LinearMap.GeneralLinearGroup.generalLinearEquiv_to_linearMap
 
 /- warning: linear_map.general_linear_group.coe_fn_general_linear_equiv -> LinearMap.GeneralLinearGroup.coeFn_generalLinearEquiv is a dubious translation:
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(Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulEquivClass.toEquivLike.{u1, u1, u1} (MulEquiv.{u1, u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3)))))) (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3))))) (MulEquiv.instMulEquivClassMulEquiv.{u1, u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3))))))))) (LinearMap.GeneralLinearGroup.generalLinearEquiv.{u2, u1} R M _inst_1 _inst_2 _inst_3) f)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (Units.val.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3) f))
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.general_linear_group.coe_fn_general_linear_equiv LinearMap.GeneralLinearGroup.coeFn_generalLinearEquivₓ'. -/
 @[simp]
 theorem coeFn_generalLinearEquiv (f : GeneralLinearGroup R M) :

4c19a16e

bump to nightly-2023-05-24-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/8d33f09cd7089ecf074b4791907588245aec5d1b

fbc7b476

Diff

@@ -113,7 +113,7 @@ theorem generalLinearEquiv_to_linearMap (f : GeneralLinearGroup R M) :
 lean 3 declaration is
   forall (R : Type.{u1}) (M : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M _inst_1 _inst_2] (f : LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3), Eq.{succ u2} (M -> M) (coeFn.{succ u2, succ u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (fun (_x : LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearEquiv.hasCoeToFun.{u1, u1, u2, u2} R R M M _inst_1 _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1)) (coeFn.{succ u2, succ u2} (MulEquiv.{u2, u2} (LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toHasMul.{u2} (LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) (Units.mulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u1, u2} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toHasMul.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3)))))) (fun (_x : MulEquiv.{u2, u2} (LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toHasMul.{u2} (LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) (Units.mulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u1, u2} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toHasMul.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3)))))) => (LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) -> (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3)) (MulEquiv.hasCoeToFun.{u2, u2} (LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toHasMul.{u2} (LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) (Units.mulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u1, u2} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toHasMul.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3)))))) (LinearMap.GeneralLinearGroup.generalLinearEquiv.{u1, u2} R M _inst_1 _inst_2 _inst_3) f)) (coeFn.{succ u2, succ u2} (LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) (fun (_x : LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) => M -> M) (LinearMap.GeneralLinearGroup.hasCoeToFun.{u1, u2} R M _inst_1 _inst_2 _inst_3) f)
 but is expected to have type
-  forall (R : Type.{u2}) (M : Type.{u1}) [_inst_1 : Semiring.{u2} R] [_inst_2 : AddCommMonoid.{u1} M] [_inst_3 : Module.{u2, u1} R M _inst_1 _inst_2] (f : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3), Eq.{succ u1} (forall (ᾰ : M), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M) => M) ᾰ) (FunLike.coe.{succ u1, succ u1, succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) f) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M) => M) _x) (SMulHomClass.toFunLike.{u1, u2, u1, u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) f) R M M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (DistribSMul.toSMulZeroClass.{u2, u1} R M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (DistribMulAction.toDistribSMul.{u2, u1} R M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_2) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_2 _inst_3)))) (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (DistribSMul.toSMulZeroClass.{u2, u1} R M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (DistribMulAction.toDistribSMul.{u2, u1} R M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_2) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_2 _inst_3)))) (DistribMulActionHomClass.toSMulHomClass.{u1, u2, u1, u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) f) R M M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_2) (AddCommMonoid.toAddMonoid.{u1} M _inst_2) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_2 _inst_3) (SemilinearMapClass.distribMulActionHomClass.{u2, u1, u1, u1} R M M ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) f) _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, u1, u1, u1} R R M M ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) f) _inst_1 _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1)))))) (FunLike.coe.{succ u1, succ u1, succ u1} (MulEquiv.{u1, u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3)))))) (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (fun (_x : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) _x) (EmbeddingLike.toFunLike.{succ u1, succ u1, succ u1} (MulEquiv.{u1, u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3)))))) (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (EquivLike.toEmbeddingLike.{succ u1, succ u1, succ u1} (MulEquiv.{u1, u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3)))))) (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulEquivClass.toEquivLike.{u1, u1, u1} (MulEquiv.{u1, u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3)))))) (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3))))) (MulEquiv.instMulEquivClassMulEquiv.{u1, u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3))))))))) (LinearMap.GeneralLinearGroup.generalLinearEquiv.{u2, u1} R M _inst_1 _inst_2 _inst_3) f)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (Units.val.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3) f))
+  forall (R : Type.{u2}) (M : Type.{u1}) [_inst_1 : Semiring.{u2} R] [_inst_2 : AddCommMonoid.{u1} M] [_inst_3 : Module.{u2, u1} R M _inst_1 _inst_2] (f : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3), Eq.{succ u1} (forall (ᾰ : M), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : M) => M) ᾰ) (FunLike.coe.{succ u1, succ u1, succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) f) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : M) => M) _x) (SMulHomClass.toFunLike.{u1, u2, u1, u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) f) R M M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (DistribSMul.toSMulZeroClass.{u2, u1} R M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (DistribMulAction.toDistribSMul.{u2, u1} R M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_2) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_2 _inst_3)))) (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (DistribSMul.toSMulZeroClass.{u2, u1} R M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (DistribMulAction.toDistribSMul.{u2, u1} R M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_2) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_2 _inst_3)))) (DistribMulActionHomClass.toSMulHomClass.{u1, u2, u1, u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) f) R M M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_2) (AddCommMonoid.toAddMonoid.{u1} M _inst_2) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_2 _inst_3) (SemilinearMapClass.distribMulActionHomClass.{u2, u1, u1, u1} R M M ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) f) _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, u1, u1, u1} R R M M ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) f) _inst_1 _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1)))))) (FunLike.coe.{succ u1, succ u1, succ u1} (MulEquiv.{u1, u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3)))))) (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (fun (_x : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) _x) (EmbeddingLike.toFunLike.{succ u1, succ u1, succ u1} (MulEquiv.{u1, u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3)))))) (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (EquivLike.toEmbeddingLike.{succ u1, succ u1, succ u1} (MulEquiv.{u1, u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3)))))) (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulEquivClass.toEquivLike.{u1, u1, u1} (MulEquiv.{u1, u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3)))))) (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3))))) (MulEquiv.instMulEquivClassMulEquiv.{u1, u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3))))))))) (LinearMap.GeneralLinearGroup.generalLinearEquiv.{u2, u1} R M _inst_1 _inst_2 _inst_3) f)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (Units.val.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3) f))
 Case conversion may be inaccurate. Consider using '#align linear_map.general_linear_group.coe_fn_general_linear_equiv LinearMap.GeneralLinearGroup.coeFn_generalLinearEquivₓ'. -/
 @[simp]
 theorem coeFn_generalLinearEquiv (f : GeneralLinearGroup R M) :

4c19a16e

bump to nightly-2023-05-18-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/c89fe2d59ae06402c3f55f978016d1ada444f57e

b46e9d53

Diff

@@ -113,7 +113,7 @@ theorem generalLinearEquiv_to_linearMap (f : GeneralLinearGroup R M) :
 lean 3 declaration is
   forall (R : Type.{u1}) (M : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M _inst_1 _inst_2] (f : LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3), Eq.{succ u2} (M -> M) (coeFn.{succ u2, succ u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (fun (_x : LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearEquiv.hasCoeToFun.{u1, u1, u2, u2} R R M M _inst_1 _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1)) (coeFn.{succ u2, succ u2} (MulEquiv.{u2, u2} (LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toHasMul.{u2} (LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) (Units.mulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u1, u2} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toHasMul.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3)))))) (fun (_x : MulEquiv.{u2, u2} (LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toHasMul.{u2} (LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) (Units.mulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u1, u2} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toHasMul.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3)))))) => (LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) -> (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3)) (MulEquiv.hasCoeToFun.{u2, u2} (LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toHasMul.{u2} (LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) (Units.mulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u1, u2} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toHasMul.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3)))))) (LinearMap.GeneralLinearGroup.generalLinearEquiv.{u1, u2} R M _inst_1 _inst_2 _inst_3) f)) (coeFn.{succ u2, succ u2} (LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) (fun (_x : LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) => M -> M) (LinearMap.GeneralLinearGroup.hasCoeToFun.{u1, u2} R M _inst_1 _inst_2 _inst_3) f)
 but is expected to have type
-  forall (R : Type.{u2}) (M : Type.{u1}) [_inst_1 : Semiring.{u2} R] [_inst_2 : AddCommMonoid.{u1} M] [_inst_3 : Module.{u2, u1} R M _inst_1 _inst_2] (f : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3), Eq.{succ u1} (forall (ᾰ : M), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M) => M) ᾰ) (FunLike.coe.{succ u1, succ u1, succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) f) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M) => M) _x) (SMulHomClass.toFunLike.{u1, u2, u1, u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) f) R M M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (DistribSMul.toSMulZeroClass.{u2, u1} R M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (DistribMulAction.toDistribSMul.{u2, u1} R M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_2) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_2 _inst_3)))) (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (DistribSMul.toSMulZeroClass.{u2, u1} R M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (DistribMulAction.toDistribSMul.{u2, u1} R M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_2) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_2 _inst_3)))) (DistribMulActionHomClass.toSMulHomClass.{u1, u2, u1, u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) f) R M M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_2) (AddCommMonoid.toAddMonoid.{u1} M _inst_2) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_2 _inst_3) (SemilinearMapClass.distribMulActionHomClass.{u2, u1, u1, u1} R M M ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) f) _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, u1, u1, u1} R R M M ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) f) _inst_1 _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1)))))) (FunLike.coe.{succ u1, succ u1, succ u1} (MulEquiv.{u1, u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3)))))) (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (fun (_x : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) _x) (EmbeddingLike.toFunLike.{succ u1, succ u1, succ u1} (MulEquiv.{u1, u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3)))))) (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (EquivLike.toEmbeddingLike.{succ u1, succ u1, succ u1} (MulEquiv.{u1, u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3)))))) (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulEquivClass.toEquivLike.{u1, u1, u1} (MulEquiv.{u1, u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3)))))) (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3))))) (MulEquiv.instMulEquivClassMulEquiv.{u1, u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3))))))))) (LinearMap.GeneralLinearGroup.generalLinearEquiv.{u2, u1} R M _inst_1 _inst_2 _inst_3) f)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (Units.val.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3) f))
+  forall (R : Type.{u2}) (M : Type.{u1}) [_inst_1 : Semiring.{u2} R] [_inst_2 : AddCommMonoid.{u1} M] [_inst_3 : Module.{u2, u1} R M _inst_1 _inst_2] (f : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3), Eq.{succ u1} (forall (ᾰ : M), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M) => M) ᾰ) (FunLike.coe.{succ u1, succ u1, succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) f) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M) => M) _x) (SMulHomClass.toFunLike.{u1, u2, u1, u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) f) R M M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (DistribSMul.toSMulZeroClass.{u2, u1} R M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (DistribMulAction.toDistribSMul.{u2, u1} R M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_2) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_2 _inst_3)))) (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (DistribSMul.toSMulZeroClass.{u2, u1} R M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (DistribMulAction.toDistribSMul.{u2, u1} R M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_2) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_2 _inst_3)))) (DistribMulActionHomClass.toSMulHomClass.{u1, u2, u1, u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) f) R M M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_2) (AddCommMonoid.toAddMonoid.{u1} M _inst_2) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_2 _inst_3) (SemilinearMapClass.distribMulActionHomClass.{u2, u1, u1, u1} R M M ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) f) _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, u1, u1, u1} R R M M ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) f) _inst_1 _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1)))))) (FunLike.coe.{succ u1, succ u1, succ u1} (MulEquiv.{u1, u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3)))))) (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (fun (_x : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) _x) (EmbeddingLike.toFunLike.{succ u1, succ u1, succ u1} (MulEquiv.{u1, u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3)))))) (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (EquivLike.toEmbeddingLike.{succ u1, succ u1, succ u1} (MulEquiv.{u1, u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R 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(Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3)))))) (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulEquivClass.toEquivLike.{u1, u1, u1} (MulEquiv.{u1, u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3)))))) (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3))))) (MulEquiv.instMulEquivClassMulEquiv.{u1, u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3))))))))) (LinearMap.GeneralLinearGroup.generalLinearEquiv.{u2, u1} R M _inst_1 _inst_2 _inst_3) f)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (Units.val.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3) f))
 Case conversion may be inaccurate. Consider using '#align linear_map.general_linear_group.coe_fn_general_linear_equiv LinearMap.GeneralLinearGroup.coeFn_generalLinearEquivₓ'. -/
 @[simp]
 theorem coeFn_generalLinearEquiv (f : GeneralLinearGroup R M) :

4c19a16e

bump to nightly-2023-03-11-22

mathlib commit https://github.com/leanprover-community/mathlib/commit/3180fab693e2cee3bff62675571264cb8778b212

a8ee822f

Diff

@@ -113,7 +113,7 @@ theorem generalLinearEquiv_to_linearMap (f : GeneralLinearGroup R M) :
 lean 3 declaration is
   forall (R : Type.{u1}) (M : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M _inst_1 _inst_2] (f : LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3), Eq.{succ u2} (M -> M) (coeFn.{succ u2, succ u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (fun (_x : LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearEquiv.hasCoeToFun.{u1, u1, u2, u2} R R M M _inst_1 _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1)) (coeFn.{succ u2, succ u2} (MulEquiv.{u2, u2} (LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toHasMul.{u2} (LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) (Units.mulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u1, u2} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toHasMul.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3)))))) (fun (_x : MulEquiv.{u2, u2} (LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toHasMul.{u2} (LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) (Units.mulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u1, u2} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toHasMul.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3)))))) => (LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) -> (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3)) (MulEquiv.hasCoeToFun.{u2, u2} (LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toHasMul.{u2} (LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) (Units.mulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u1, u2} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toHasMul.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3)))))) (LinearMap.GeneralLinearGroup.generalLinearEquiv.{u1, u2} R M _inst_1 _inst_2 _inst_3) f)) (coeFn.{succ u2, succ u2} (LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) (fun (_x : LinearMap.GeneralLinearGroup.{u1, u2} R M _inst_1 _inst_2 _inst_3) => M -> M) (LinearMap.GeneralLinearGroup.hasCoeToFun.{u1, u2} R M _inst_1 _inst_2 _inst_3) f)
 but is expected to have type
-  forall (R : Type.{u2}) (M : Type.{u1}) [_inst_1 : Semiring.{u2} R] [_inst_2 : AddCommMonoid.{u1} M] [_inst_3 : Module.{u2, u1} R M _inst_1 _inst_2] (f : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3), Eq.{succ u1} (forall (ᾰ : M), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M) => M) ᾰ) (FunLike.coe.{succ u1, succ u1, succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) f) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M) => M) _x) (SMulHomClass.toFunLike.{u1, u2, u1, u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) f) R M M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (DistribSMul.toSMulZeroClass.{u2, u1} R M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (DistribMulAction.toDistribSMul.{u2, u1} R M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_2) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_2 _inst_3)))) (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (DistribSMul.toSMulZeroClass.{u2, u1} R M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (DistribMulAction.toDistribSMul.{u2, u1} R M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_2) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_2 _inst_3)))) (DistribMulActionHomClass.toSMulHomClass.{u1, u2, u1, u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) f) R M M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_2) (AddCommMonoid.toAddMonoid.{u1} M _inst_2) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_2 _inst_3) (SemilinearMapClass.distribMulActionHomClass.{u2, u1, u1, u1} R M M ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) f) _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, u1, u1, u1} R R M M ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) f) _inst_1 _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1)))))) (FunLike.coe.{succ u1, succ u1, succ u1} (MulEquiv.{u1, u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3)))))) (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (fun (_x : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) _x) (EmbeddingLike.toFunLike.{succ u1, succ u1, succ u1} (MulEquiv.{u1, u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3)))))) (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (EquivLike.toEmbeddingLike.{succ u1, succ u1, succ u1} (MulEquiv.{u1, u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3)))))) (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulEquivClass.toEquivLike.{u1, u1, u1} (MulEquiv.{u1, u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3)))))) (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3))))) (MulEquiv.instMulEquivClassMulEquiv.{u1, u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3))))))))) (LinearMap.GeneralLinearGroup.generalLinearEquiv.{u2, u1} R M _inst_1 _inst_2 _inst_3) f)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (Units.val.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3) f))
+  forall (R : Type.{u2}) (M : Type.{u1}) [_inst_1 : Semiring.{u2} R] [_inst_2 : AddCommMonoid.{u1} M] [_inst_3 : Module.{u2, u1} R M _inst_1 _inst_2] (f : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3), Eq.{succ u1} (forall (ᾰ : M), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M) => M) ᾰ) (FunLike.coe.{succ u1, succ u1, succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) f) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M) => M) _x) (SMulHomClass.toFunLike.{u1, u2, u1, u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) f) R M M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (DistribSMul.toSMulZeroClass.{u2, u1} R M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (DistribMulAction.toDistribSMul.{u2, u1} R M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_2) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_2 _inst_3)))) (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (DistribSMul.toSMulZeroClass.{u2, u1} R M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (DistribMulAction.toDistribSMul.{u2, u1} R M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_2) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_2 _inst_3)))) (DistribMulActionHomClass.toSMulHomClass.{u1, u2, u1, u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) f) R M M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_2) (AddCommMonoid.toAddMonoid.{u1} M _inst_2) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_2 _inst_3) (SemilinearMapClass.distribMulActionHomClass.{u2, u1, u1, u1} R M M ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) f) _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, u1, u1, u1} R R M M ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) => LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) f) _inst_1 _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1)))))) (FunLike.coe.{succ u1, succ u1, succ u1} (MulEquiv.{u1, u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 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(Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3)))))) (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulEquivClass.toEquivLike.{u1, u1, u1} (MulEquiv.{u1, u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3)))))) (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3))))) (MulEquiv.instMulEquivClassMulEquiv.{u1, u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (MulOneClass.toMul.{u1} (LinearMap.GeneralLinearGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3) (Units.instMulOneClassUnits.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3))) (MulOneClass.toMul.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Monoid.toMulOneClass.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_2 _inst_3))))))))) (LinearMap.GeneralLinearGroup.generalLinearEquiv.{u2, u1} R M _inst_1 _inst_2 _inst_3) f)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (Units.val.{u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) M M _inst_2 _inst_2 _inst_3 _inst_3) (Module.End.monoid.{u2, u1} R M _inst_1 _inst_2 _inst_3) f))
 Case conversion may be inaccurate. Consider using '#align linear_map.general_linear_group.coe_fn_general_linear_equiv LinearMap.GeneralLinearGroup.coeFn_generalLinearEquivₓ'. -/
 @[simp]
 theorem coeFn_generalLinearEquiv (f : GeneralLinearGroup R M) :

4c19a16e

bump to nightly-2023-02-21-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc

1107b979

Changes in mathlib4

mathlib3

mathlib4

2705404e

chore: solve not necessary anymore porting notes (#11086)

Solves porting notes claiming

"not necessary anymore"
"not used anymore"

by simply deleting them.

86b7828a

Diff

@@ -37,9 +37,6 @@ namespace GeneralLinearGroup
 
 variable {R M}
 
--- Porting note: This is not necessary anymore
--- instance : CoeFun (GeneralLinearGroup R M) fun _ ↦ M → M := by infer_instance
-
 /-- An invertible linear map `f` determines an equivalence from `M` to itself. -/
 def toLinearEquiv (f : GeneralLinearGroup R M) : M ≃ₗ[R] M :=
   { f.val with

2705404e

chore: banish Type _ and Sort _ (#6499)

We remove all possible occurences of Type _ and Sort _ in favor of Type* and Sort*.

This has nice performance benefits.

32de3f67

Diff

@@ -21,7 +21,7 @@ See also `Matrix.GeneralLinearGroup`
 -/
 
 
-variable (R M : Type _)
+variable (R M : Type*)
 
 namespace LinearMap

2705404e

chore: script to replace headers with #align_import statements (#5979)

depends on: #5966

Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

89aa3a3b

Diff

@@ -2,14 +2,11 @@
 Copyright (c) 2019 Johan Commelin. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin
-
-! This file was ported from Lean 3 source module linear_algebra.general_linear_group
-! leanprover-community/mathlib commit 2705404e701abc6b3127da906f40bae062a169c9
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Module.Equiv
 
+#align_import linear_algebra.general_linear_group from "leanprover-community/mathlib"@"2705404e701abc6b3127da906f40bae062a169c9"
+
 /-!
 # The general linear group of linear maps

2705404e

chore: fix #align lines (#3640)

This PR fixes two things:

Most align statements for definitions and theorems and instances that are separated by two newlines from the relevant declaration (s/\n\n#align/\n#align). This is often seen in the mathport output after ending calc blocks.
All remaining more-than-one-line #align statements. (This was needed for a script I wrote for #3630.)

2b42dc7c

Diff

@@ -69,8 +69,7 @@ def generalLinearEquiv : GeneralLinearGroup R M ≃* M ≃ₗ[R] M where
   left_inv f := by ext; rfl
   right_inv f := by ext; rfl
   map_mul' x y := by ext; rfl
-#align linear_map.general_linear_group.general_linear_equiv
-  LinearMap.GeneralLinearGroup.generalLinearEquiv
+#align linear_map.general_linear_group.general_linear_equiv LinearMap.GeneralLinearGroup.generalLinearEquiv
 
 @[simp]
 theorem generalLinearEquiv_to_linearMap (f : GeneralLinearGroup R M) :

2705404e

feat: port LinearAlgebra.GeneralLinearGroup (#2035)

afdc959a

`linear_algebra.general_linear_group` ⟷ `Mathlib.LinearAlgebra.GeneralLinearGroup`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 3 + 195

linear_algebra.general_linear_group ⟷ Mathlib.LinearAlgebra.GeneralLinearGroup

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 3 + 195

`linear_algebra.general_linear_group` ⟷ `Mathlib.LinearAlgebra.GeneralLinearGroup`